Computability and Completeness
This article outlines the classical computability framework with particular emphasis on halting and completeness.
Tutorials and Introductions
These are very quick and tidy and thoroughly un-polished synopses of the kinds of topics which featured in my prior research work. They are intended just to capture some central points succinctly and should by no means be taken as serious scholarship.
Complexity & Information Theory
This article explains the basic concepts of algorithmic information theory, sometimes known as Kolmogorov complexity.
Quantum Decoherence
This article describes the very basics of interactive decoherence theory, outlining its bearing on alleged connections between quantum theory and philosophy of mind or cognitive science.
Emergence and Levels of Description
This article outlines some standard uses of the word ’emergence’, notes the differences between their respective ontological and epistemological commitments, and comments briefly on the roles which may be played by complementary descriptions of the same item.
Qualia
This article describes the philosophical use of the word ‘qualia’ and its relevance to cognitive science.
Recursion Theory
This article outlines a standard definition of computability for the real numbers.
Supervenience
This article explains the relationship of supervenience as used in cognitive science and philosophy of mind.
Models of Computation: Turing Machines and Finite Automata
This article marks out the boundaries between Turing Machines, Universal Turing Machines, and finite automata.
Philosophers’ Zombies and their Role in Cognitive Science
This article contrasts conceptual zombies with those of Haitian folklore and outlines the importance of the zombie question to cognitive science and efforts to create artificial cognitive systems.
Biological Cognition & Universal Computation
This article addresses common misconceptions about the formal limits of human and other biological cognition.
Chaos Theory
This article specifies a standard formal definition of chaos and comments briefly on the relationship of mathematical chaos to processes within the real physical world.
Soul Searching (TV Documentary)
Along with leading international figures such as Roger Penrose, Greg Chaitin and Galen Strawson, Greg Mulhauser appears in the second part of the two-part Channel 4 film Soul Searching.
Sections Available
- Research Archive
- About the Research Archive
- Drafts and Unfinished Papers
- International Workshop on Robot Cognition
- Mind Out of Matter
- Research Bibliography
- Supplementary Bibliography from Mind Out of Matter
- Tutorials and Introductions
- Biological Cognition & Universal Computation
- Chaos Theory
- Complexity & Information Theory
- Computability and Completeness
- Emergence and Levels of Description
- Models of Computation: Turing Machines and Finite Automata
- Philosophers’ Zombies and their Role in Cognitive Science
- Qualia
- Quantum Decoherence
- Recursion Theory
- Soul Searching (TV Documentary)
- Supervenience
This article was originally published by on and was last reviewed or updated by Dr Greg Mulhauser on .